In the figure, TUW is a triangle with UW = UT, while STUV is a parallelogram and VUW is a straight line. Given ∠UVS = 92°, ∠RUW = 143° and ∠SRU = 56°, find
- ∠UTW
- ∠RUT
(a)
∠SVU
= ∠TUW
= 92° (Corresponding angles)
∠UTW
= (180° - 92°) ÷ 2
= 44° (Isosceles triangle)
(b)
∠RUT
= 360° - 143° - 92°
= 125° (Angles at a point)
Answer(s): (a) 44°; (b) 125°